Question

Find all zeroes of x3+3x2+x+2 if one of its zero is -3. class 10th​

Answer 1

Answer:

We know that if x = a is a zero of a polynomial then x - a is a factor of f(x) Since - √2 and √2 are zeros of f(x) Therefore (x + √2) and (x - √2) are factors of f(x) Now on dividing f(x) = x3 + 3x2 - 2x - 6 by g(x) = (x - √2)(x + √2) = x2 - 2 to find other zeros. By applying division algorithm, we have: Hence, the zeros of the given polynomial are: -√2, √2, -3Read more on Sarthaks.com - https://www.sarthaks.com/1074839/find-all-the-zeros-of-the-polynomial-x-3-3x-2-2x-6-if-two-of-its-zeros-are-2-and-2